2a^2+3a+10a=15

Solution for 2a^2+3a+10a=15 equation:

Simplifying
2a2 + 3a + 10a = 15

Reorder the terms:
3a + 10a + 2a2 = 15

Combine like terms: 3a + 10a = 13a
13a + 2a2 = 15

Solving
13a + 2a2 = 15

Solving for variable 'a'.

Reorder the terms:
-15 + 13a + 2a2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 13a + 2a2 = 0

Factor a trinomial.
(-15 + -2a)(1 + -1a) = 0

Subproblem 1
Set the factor '(-15 + -2a)' equal to zero and attempt to solve:

Simplifying
-15 + -2a = 0

Solving
-15 + -2a = 0

Move all terms containing a to the left, all other terms to the right.

Add '15' to each side of the equation.
-15 + 15 + -2a = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -2a = 0 + 15
-2a = 0 + 15

Combine like terms: 0 + 15 = 15
-2a = 15

Divide each side by '-2'.
a = -7.5

Simplifying
a = -7.5
Subproblem 2
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1

Combine like terms: 0 + -1 = -1
-1a = -1

Divide each side by '-1'.
a = 1

Simplifying
a = 1
Solution
a = {-7.5, 1}